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Risk Price Dynamics

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Author Info

  • Lars Peter Hansen

    ()
    (University of Chicago - Department of Economics)

  • Jaroslav Borovicka

    ()
    (University of Chicago - Federal Reserve Bank of Chicago)

  • Mark Hendricks

    ()
    (University of Chicago - Department of Economics)

  • Jose A. Scheinkman

    ()
    (Princeton University - Department of Economics)

Abstract

We present a novel approach to depicting asset pricing dynamics by characterizing shock exposures and prices for alternative investment horizons. We quantify the shock exposures in terms of elasticities that measure the impact of a current shock on future cash-flow growth. The elasticities are designed to accommodate nonlinearities in the stochastic evolution modeled as a Markov process. Stochastic growth in the underlying macroeconomy and stochastic discounting in the representation of asset values are central ingredients in our investigation. We provide elasticity calculations in a series of examples featuring consumption externalities, recursive utility, and jump risk.

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File URL: http://bfi.uchicago.edu/RePEc/bfi/wpaper/BFI_2010-004.pdf
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Bibliographic Info

Paper provided by Becker Friedman Institute for Research In Economics in its series Working Papers with number 2010-004.

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Date of creation: Jan 2010
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Handle: RePEc:bfi:wpaper:2010-004

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Web page: http://bfi.uchicago.edu/
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Related research

Keywords: growth-rate risk; pricing; dynamics; elasticities; Markov process;

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References

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  1. Bonomo, Marco & Garcia, Rene, 1996. "Consumption and equilibrium asset pricing: An empirical assessment," Journal of Empirical Finance, Elsevier, vol. 3(3), pages 239-265, September.
  2. David M Kreps & Evan L Porteus, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Levine's Working Paper Archive 625018000000000009, David K. Levine.
  3. Hansen, Lars Peter & Heaton, John & Lee, Junghoon & Roussanov, Nikolai, 2007. "Intertemporal Substitution and Risk Aversion," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 61 Elsevier.
  4. Lars Peter Hansen & John C. Heaton & Nan Li, 2008. "Consumption Strikes Back? Measuring Long-Run Risk," Journal of Political Economy, University of Chicago Press, vol. 116(2), pages 260-302, 04.
  5. Ravi Bansal & Amir Yaron, 2004. "Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles," Journal of Finance, American Finance Association, vol. 59(4), pages 1481-1509, 08.
  6. Lars Peter Hansen & Jose A Sheinkman, 2007. "Long-term Risk: An Operator Approach," Levine's Bibliography 122247000000001669, UCLA Department of Economics.
  7. John Y. Campbell & John H. Cochrane, 1994. "By force of habit: a consumption-based explanation of aggregate stock market behavior," Working Papers 94-17, Federal Reserve Bank of Philadelphia.
  8. Jessica A. Wachter, 2005. "Solving Models with External Habit," NBER Working Papers 11559, National Bureau of Economic Research, Inc.
  9. Jessica Wachter & Martin Lettau, 2005. "Why is Long-Horizon Equity Less Risky? A Duration-Based Explanation of the Value Premium," 2005 Meeting Papers 302, Society for Economic Dynamics.
  10. Gourieroux, Christian & Jasiak, Joanna, 1999. "Nonlinear innovations and impulse responses," CEPREMAP Working Papers (Couverture Orange) 9906, CEPREMAP.
  11. Fernando Alvarez & Urban J. Jermann, 2005. "Using Asset Prices to Measure the Persistence of the Marginal Utility of Wealth," Econometrica, Econometric Society, vol. 73(6), pages 1977-2016, November.
  12. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  13. Koop, Gary & Pesaran, M. Hashem & Potter, Simon M., 1996. "Impulse response analysis in nonlinear multivariate models," Journal of Econometrics, Elsevier, vol. 74(1), pages 119-147, September.
  14. Hui Chen, 2010. "Macroeconomic Conditions and the Puzzles of Credit Spreads and Capital Structure," NBER Working Papers 16151, National Bureau of Economic Research, Inc.
  15. Simon M. Potter, 1999. "Nonlinear impulse response functions," Staff Reports 65, Federal Reserve Bank of New York.
  16. Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-69, July.
  17. Harjoat S. Bhamra & Lars-Alexander Kuehn & Ilya A. Strebulaev, 2010. "The Levered Equity Risk Premium and Credit Spreads: A Unified Framework," Review of Financial Studies, Society for Financial Studies, vol. 23(2), pages 645-703, February.
  18. Breeden, Douglas T., 1979. "An intertemporal asset pricing model with stochastic consumption and investment opportunities," Journal of Financial Economics, Elsevier, vol. 7(3), pages 265-296, September.
  19. Calvet, Laurent E. & Fisher, Adlai J., 2008. "Multifrequency jump-diffusions: An equilibrium approach," Journal of Mathematical Economics, Elsevier, vol. 44(2), pages 207-226, January.
  20. Ralph S.J. Koijen & Hanno Lustig & Stijn Van Nieuwerburgh, 2010. "The Cross-Section and Time-Series of Stock and Bond Returns," NBER Working Papers 15688, National Bureau of Economic Research, Inc.
  21. Marco Cagetti & Lars Peter Hansen & Thomas Sargent & Noah Williams, 2002. "Robustness and Pricing with Uncertain Growth," Review of Financial Studies, Society for Financial Studies, vol. 15(2), pages 363-404, March.
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Citations

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Cited by:
  1. Jaroslav Borovicka & Lars Hansen, 2012. "Examining macroeconomic models through the lens of asset pricing," Working Paper Series WP-2012-01, Federal Reserve Bank of Chicago.
  2. Jules H. van Binsbegen & Michael W. Brandt & Ralph S.J. Koijen, 2010. "On the Timing and Pricing of Dividends," Working Papers 2010-010, Becker Friedman Institute for Research In Economics.
  3. Koijen, Ralph & Lustig, Hanno & van Nieuwerburgh, Stijn, 2012. "The Cross-Section and Time-Series of Stock and Bond Returns," CEPR Discussion Papers 9024, C.E.P.R. Discussion Papers.
  4. Lars Peter Hansen, 2012. "Risk Pricing over Alternative Investment Horizons," Working Papers 2012-008, Becker Friedman Institute for Research In Economics.
  5. Bakshi, Gurdip & Chabi-Yo, Fousseni, 2011. "Variance Bounds on the Permanent and Transitory Components of Stochastic Discount Factors," Working Paper Series 2011-11, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
  6. Bakshi, Gurdip & Chabi-Yo, Fousseni, 2012. "Variance bounds on the permanent and transitory components of stochastic discount factors," Journal of Financial Economics, Elsevier, vol. 105(1), pages 191-208.

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